An object of mass m is dropped from height h above a planet of mass M and radius

Question

An object of mass m is dropped from height h above a planet of mass M and radius R. Find an expression for the object's impact speed. What is the energy cost (expressed in Joules per kg) to boost a satellite from the earth's surface into geosynchronous orbit? You're in an orbiting spacecraft at an altitude where the force of gravity is just 42% of what it is on the earth's surface. Meanwhile, here on the surface of the earth, three friends are bored (and envious) as you orbit. At the playground, they start pushing on a frictionless merry-go-round(carousel), which has a moment of inertia about its center of I. The initial forces and directions are shown here (as viewed from above),and they continue pushing so that each torque remains as it was initially. All this pushing begins at the moment when your orbiting spacecraft is directly overhead, and all pushing ceases after a time interval Delta t. Measuring from the start of their pushing, how many revolutions has themerry-go-round made by the time your spacecraft passes directly overheadagain (i.e. on its next revolution)? (You may assume that the time interval Delta t ends before you complete your next revolution.) You may consider these values as known: gearth, rearth, I, Fl, ll, theta l, F2, l2, theta2, F3, l3, theta3, Delta t. This is an ODAVEST item-use the full seven-step problem-solving protocol-hut keep in mind that you're not being asked to actually solve for the final expression. In fact, you're not being asked to do any math at all-not even any algebra. Rather, for the Solve step, you are to write a series of succinct instructions on how to solve this problem. Pretend that your instructions will be given to someone who knows math hut not physics. And for the Test step, you should consider the situation and predict how the solution would change if the data were different-changing one data value at a time.

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please ask them as individual questions

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